# Flags

How many different flags can be made from colors red, yellow, blue, green, white so that each flag consisted of three different colors?

**Correct result:**Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

**Showing 3 comments:**

**Math student**

This solution is for if the order of color matters. However, according to the question, order does not matter. It is therefore a combination, not a permutation. The solution should be (7x6x5)/3! = 35.

Tips to related online calculators

See also our permutations calculator.

See also our variations calculator.

Would you like to compute count of combinations?

See also our variations calculator.

Would you like to compute count of combinations?

#### You need to know the following knowledge to solve this word math problem:

## Next similar math problems:

- Lock

A combination lock will open when the right choice of 3 numbers (from 1 to 16 inclusive) is selected. A. How many different lock combinations are possible? B. Is the combination lock named appropriately? - Cars plates

How many different licence plates can country have, given that they use 3 letters followed by 3 digits? - Pins 2

how many different possible 4 digits pins can be found on the 10-digit keypad? - Chess

How many ways can select 4 fields on classic chess board with 64 fields, so that fields don't has the same color? - Olympics metals

In how many ways can be win six athletes medal positions in the Olympics? Metal color matters. - Football league

In the 5th football league is 10 teams. How many ways can be filled first, second and third place? - Medals

In how many ways can be divided gold, silver and bronze medal among 21 contestant? - Metals

In the Hockey World Cup play eight teams, determine how many ways can they win gold, silver and bronze medals. - Neighborhood

I have 7 cups: 1 2 3 4 5 6 7. How many opportunities of standings cups are there if 1 and 2 are always neighborhood? - Coin and die

Flip a coin and then roll a six-sided die. How many possible combinations are there? - Password dalibor

Kamila wants to change the password daliborZ by a) two consonants exchanged between themselves, b) changes one little vowel to such same great vowel c) makes this two changes. How many opportunities have a choice? - 7 heroes

9 heroes galloping on 9 horses behind. How many ways can sort them behind? - PIN - codes

How many five-digit PIN - code can we create using the even numbers? - Election 4

In a certain election there are 3 candidates for president 5 for secretory and 2 for tresurer. Find how many ways the election may (turn out/held). - Peak

Uphill leads 2 paths and 1 lift. a) How many options back and forth are there? b) How many options to get there and back by not same path are there? c) How many options back and forth are there that we go at least once a lift? - Tokens

In the non-transparent bags are red, white, yellow, blue tokens. We 3times pull one tokens and again returned it, write down all possibilities. - Variations

Determine the number of items when the count of variations of fourth class without repeating is 42 times larger than the count of variations of third class without repetition.